Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 72m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
72 divided by 3= 24, 24 is your diameter of each semi circle
To find the area of your semi circles you’ll use pi times radius squared.
Aka 3.14 times 12^2 divided by 2 = 226.08
Times 3 for 3 semi circles
226.08 times 3= 678.24
Now find the area of the rectangle and you get the height from the semi circles which is 24m
72 times 24= 1,728m^2
Now you take the area of the rectangle and subtract the area of the circles
1,728 - 678.24 = 1,049.76m
Related Questions
Match the given areas with the correct figure. All areas have been rounded to the nearest number.
Answers
Answer:
Read Explanation
Step-by-step explanation:
I will go in order from left to right on the top row, then go down to the bottom row and go from left to right. (btw most of these are just cutting shapes into smaller pieces)
1st shape:(40)+(40)+(5*4=20/2=10)
80+10=90cm
2nd shape:36+60=96cm
3rd shape: 56+(4*8/2) 56+16=72cm
4th shape: 12+55+5= 12+60=72 cm
5th shape:4+88=92 cm
6th shape:68 as it is the last option
solve the problem - 4(6x + 7) ≥ 116
Answers
Answer:
if were solving for X, that's the answer
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
A spinner is divided into 11 equal sections numbered from 0 to 10. You spin the spinner once. What is P(even)
Answers
Answer:
[tex]p(even)= \frac{6}{11}[/tex]
Step-by-step explanation:
It's given in the question that;
The spinner is divided into 11 equal sections from 0 to 10.
You spin the spinner ONCE!
The total number of possibilities is six, and the total number of sample spaces is 11.
So the probability of getting an even number is; [tex]p(even)= \frac{6}{11}[/tex]
I hope this helps!
A circular hot spring has a diameter of 96 meters. Over time, the diameter of the spring decreases by 8 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi
Answers
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
What we must do is calculate the area before and after making the diameter cut.
The area of a circle is equal to:
a = pi * r ^ 2
now the diameter is equal to:
d = 2 * r
therefore r,
r = d / 2
before the cut would be
r = 96/2
r = 48
replacing in the area formula
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:
r = 88/2
r = 44
now calculating the new area would be:
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
means that the area decreases by 1155.52 square meters
A bag contains 7 green marbles, 9 red marbles, 10 orange marbles, 5 brown marbles, and 10 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?
Answers
Answer:
9/41+10/41 which is 19/41
Step-by-step explanation:
If its right, mark me as brainliest
Which system of equations would have no solution? pls helpp
Answers
Answer:
3x+y=8 and 3x+y=9
Step-by-step explanation:
Assume these two equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.
In these case, take a look at the last option:
[tex]3x + y = 8 \\ 3x + y = 9[/tex]
Re-write 'em as a standard form:
[tex]3x + y - 8 = 0 \\ 3x + y - 9 = 0[/tex]
So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:
[tex] \frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9} [/tex]
And they do not have any collision point
. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
(1 point)
A equals 18 meters squared
A equals 24 meters squared
A equals 15 meters squared
A equals 22 meters squared
Answers
18m^2
area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height
(4+8)/2 * 3
= 12/2 * 3
= 6 * 3
= 18
help please is this correct or not please tell me im wrong but if i am then can u
give me the correct answer
Answers
Answer:
I believe that you're correct.
Step-by-step explanation:
Please inform me if you were incorrect.
You are correct. The 3 answers are B, C, and D
The notation [tex]m > 0[/tex] means that m is any positive number which accounts for the 1, 2, and 3.
Choice A is not a possible answer because [tex]m > 0[/tex] would update to [tex]0 > 0[/tex] which is false. Zero is not bigger than itself. No number is bigger than itself.
Choice E is also false because [tex]-1 > 0[/tex] is false. Anything negative is always smaller than zero.
If you wanted, you can use a number line to visually verify the answers.
Which group of numbers is listed from least to greatest?
|-9|, |-4|, -1, 5, 8
8, 6, 5, |-4|, |-1|
-2, |-3|, |-4|, 0, 3
|-2|, 3, |-5|, 7, |-9|
Answers
|-2|, 3, |-5|, 7, |-9| is listed correctly from least to greatest. The others are either out of order or greatest to least.
Answer:
4th group
Step-by-step explanation:
2, 3, 5, 7, 9
|-x|=x
find the value of x in the equation without evaluating the power
Answers
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — [tex]\frac{1}{3}[/tex])
we need to figure out what power of a [tex]\frac{1}{3}[/tex] the [tex]\frac{1}{729}[/tex] is.
what we can do is the following:
[tex](\frac{1}{3})^?[/tex] = [tex]\frac{1}{729}[/tex]
[tex]3^?[/tex] = 729
If we take the "log" of each, we can find out what power of 3 gives 729.[tex]log(3^?) = log\ 729[/tex]
We must remember this rule: [tex]log(a^n) = n \times log(a)[/tex]
[tex]? \times log 3 = log 729[/tex]
[tex]? = \frac{log\ 729}{log\ 3}[/tex]
? = 6 (with a calculator)
This means that to get 729, we need to do [tex]3^6[/tex]
Therefore [tex](\frac{1}{3})^6 = \frac{1}{729}[/tex]
We can now solve the equation!
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex]\frac{1}{729}[/tex]
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex]
Since each term of our equation has the same base of [tex]\frac{1}{3}[/tex] we can ignore it and just deal with the powers!
We must remember this rule: [tex]x^a \times x^b = x^{a + b}[/tex]
Using this rule:
[tex](\frac{1}{3})^{2}[/tex] × [tex](\frac{1}{3})^x[/tex] = [tex](\frac{1}{3})^6[/tex] becomes...
[tex]2 + x = 6[/tex]
[tex]x = 6 - 2 = 4[/tex]
18/10 more than a number of x is equal to 29/5
Answers
The value of [tex]x[/tex] such that [tex]\dfrac{18}{10}[/tex] more than a number of [tex]x[/tex] is equal to [tex]\dfrac{29}{5}[/tex] is [tex]4[/tex].
Draft a linear mathematical equation from the given data and solve the same to determine the value of [tex]x[/tex].
Solution
According to the question,
[tex]x+\dfrac{18}{10}=\dfrac{29}{5}\\x=\dfrac{29}{5}-\dfrac{18}{10}\\x=\dfrac{29-9}{5}\\x=4[/tex]
As a result, the value of [tex]x[/tex] is [tex]4[/tex].
Learn more about Linear equations here- https://brainly.com/question/15389595?referrer=searchResults
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Chris is going to buy a new truck for $50,500.00. The company is having a sale this weekend. All trucks are discounted 19%. What is the selling price?
Answers
Answer:
40,905
Step-by-step explanation: that's what i got
What is spark addition?
Answers
Answer:
spark addition is a left to right addition
An inspector at a shirt factory randomly selects shirts to inspect for defects. The table below shows the number of shirts she found with defects last week.
Based on this information, which of these is the best estimate of the probability that the next shirt she inspects will have a defect?
PLEASE HELP GIVING ALL MY POINTS AND BRAINLIST
A.
10%
B.
11%
C.
12%
D.
22%
Answers
Answer:
The answer is B
Step-by-step explanation:
find the average of how many she inspected every day:
(30+35+40+45+50) / 5 = 40
(6+4+4+5+3) / 5 = 4.4
so on average, she inspected 40 shirts a day and found (technically) 4.4 defects
so to find the percentage we do this:
4.4/40 * 100 = 11%
so the answer is B
WILL GIVE BRAINLIEST AND 100 POINTS PLEASE FULL AND ACCURATE ANSWER NO LINKS!!!! THANK YOU!
A rabbit's fur grows at the rate of 5 over 2 inches per month.
How many months will it take the rabbit's fur to grow 15 over 4 inches?
Explain your answer using expressions and words.
Answers
Growth rate = 5/2 inches per month
The fur length after y months:
Fur length = 5/2 × y
Therefore, to have a fur length of 15/4 inches :
15/4 = 5/2 × y
3.75 = 2.5y
Divide both sides by 2.5 to isolate y
3.75/2.5 = y
1.5 = y
it will take a month and half to have a fur of 15/4 inch length
Answer:
1.5 months
Step-by-step explanation:
First, make [tex]\frac{5}{2}[/tex] so it has a common demoninator as [tex]\frac{15}{4}[/tex].
We need the demoninator to be the same so we can multiply [tex]\frac{5}{2}[/tex] by 2 to make it [tex]\frac{10}{4}[/tex].
So, a rabbit's ear grows [tex]\frac{10}{4}[/tex] of an inch in a month.
To find how many months, it will take, we have to divide [tex]\frac{15}{4}[/tex] by [tex]\frac{10}{4}[/tex].
To divide fractions, we can multiply with the reciprocal.
So, [tex]\frac{15}{4}[/tex] * [tex]\frac{4}{10}[/tex] is [tex]\frac{60}{40}[/tex] which reduces to [tex]\frac{6}{4}[/tex] which, in decimal form is equal to 1.5 months.
15 points!! please answer correctly
Answers
let x equal the price of the medium drink
let y equal the price of the large popcorn
let’s start by creating an equation for the couple
they bought 2 drinks and 1 popcorn for 13.85$
so, 2x+1y=13.85
let’s make an equation for the family
they bought 3 drinks and 2 popcorns for 23.90$
so, 3x+2y=23.90
let’s solve for y using the COUPLE equation
minus 2x from the right to get 1y=-2x+13.85
1y is the same as y, the the equation for the couple is y=-2x+13.85
put this y value into the y value for the FAMILY equation
3x+2(-2x+13.85)=23.90
distribute the 2 to get 3x-4x+27.70=23.90
combine 3x and -4x to get -1x+27.70=23.90
minus 27.70 from both sides to get the following:
-1x=-3.8
multiple both sides by -1 to get x=3.8
the price of one drink is 3.8$
lastly, let’s figure out the price of the popcorn.
replace the x value in the COUPLE equation with the 3.8
2(3.8)+1y=13.85
multiply 2 and 3.8 to get 7.6
7.6+1y=13.85
minus the 7.6 to get 1y=13.85-7.6
reduce the equation to get y=6.25
so, the price of one drink is 3.80$ and one popcorn is 6.25$
hope this helped!!
Math Question In image.Please help me. Due Today
Answers
Answer:
See below
Step-by-step explanation:
If the diameter is doubled, the circumference is doubled. It is shown here:
18 * 3.14 = 56.52
36 (doubled diameter) * 3.14 = 113.04
If the circumference with the doubled diameter divided by the circumference of the original diameter comes out as 2, then it is proven that doubling the diameter doubles the circumference.
113.04/56.52 = 2.
The image for the rest is attached.
Answer:
Step-by-step explanation:
The Radius is (1/2) of the diameter, so to get the diameter we will multiply the radius by 2.
1. 9*2=18in
The we multiply the diameter by [tex]\pi[/tex] to get the cicumference. We know to do this because the equation of the circumference is C=[tex]\pi[/tex]d or C=2[tex]\pi[/tex]r. (p.s [tex]\pi[/tex]=3.1415926)
2. 18in*(3.1415926)=56.5487in
3. If the diameter is doubled the circumference is also doubled. We know this because of the equation C=[tex]\pi[/tex]d. The circumference is dependant upon the diameter and grows (or shrinks) with it.
Twenty-five students reported how many email accounts they have. The dot plot below shows the data collected:
A dot plot is shown with the title Email Accounts of Students. The values on the horizontal line are 1, 2, 3, 4, 5, and 6. The label along horizontal line is Number of Email Accounts. Put 8 dots vertically along the value 1, 6 dots vertically along the value 2, 5 dots vertically along the value 3, 3 dots vertically along the value 4, 2 dots vertically along the value 5, and 1 dot vertically along the value 6.
What do the dots above the number 3 represent?
There are exactly 3 students with 5 email accounts.
There are exactly 3 students with less than 5 email accounts.
There are exactly 5 students with 3 email accounts.
There are exactly 5 students with less than 3 email accounts
Answers
Answer:
5 Students with 3 Emails.
Step-by-step explanation:
+
+
+ +
+ + +
+ + +
+ + + +
+ + + + +
+ + + + + +
1 2 3 4 5 6
The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following. Show your work.
chicken: 8%
salad: 20%
burgers: 16%
fruit:24%
Answers
Answer:
chicken:46
salad: 115
burgers: 92
fruit:138
Step-by-step explanation:
chicken: 575*8%=46
salad: 575*20%=115
burgers: 575* 16% =92
fruit:575*24%=138
Therefore when
575 —> 100%
X—> 8%
Then you cross multiply, 100x= 575x8
X= (575x8)/100.
That’s the mount of students for chicken :) continue this system to get the other values, hope this helped <3
In ABC, m
In XYZ, m
Include in Your Answer:
What is m
What is m
Is it possible for these two triangles to be similar? Why or why not?
Answers
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Yes, the two triangles are similar because all the angles are congruent. The requirement for two triangles to be similar is if two corresponding angles are equal.
Step-by-step explanation:
A triangle is 180 degrees.
So adding the angles of triangle ABC, 62+39=101
180-101=79, so angle c is 79 degrees
Adding the angles of triangle XYZ, 39+79=118
180-118=62, so angle x is 62 degrees
Answer:
Angle C= 79 degrees
Angle X= 62 degrees
Step-by-step explanation:
give the width of the lawnmower is 2.5 feet and the length of the rope is 25 feet, calculate the radius (R) of the pole that will produce a perfect lawn
Answers
Answer:
The radius is 0.398 feet to produce a perfect lawn for the lawnmower.
It is given that the width of the lawnmower is 2.5 feet and the length of the rope is 25 feet.
It is required to calculate the radius (R) of the pole that will produce a perfect lawn.
What is a circle?
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have,
Width of the lawnmower = 2.5 feet
Length of the rope = 25 feet
For the perfectly mowed lawn, it means the lawnmower width which is 2.5 feet must wrap the pole with radius R, mathematically:
The perimeter of the pole = width of the lawnmower
2πR = 2.5
R = 0.398 Feet ( π = 3.14 )
Thus, the radius is 0.398 feet to produce a perfect lawn for the lawnmower.
A small cruise ship has 220 passengers. At the Port of San Juan, 2 groups of 12 passengers go ashore to shop and 5 groups of 6 passengers go sightseeing. Evaluate 220 - (2 x 12) - (5 X 6) to find the number of passengers that are left on the ship. -
Answers
Answer:
166
Step-by-step explanation:
Do the parathisis first
(2x12)=24
(5x6)=30
Then do
220-24-30=166
Answer:
166
Step-by-step explanation:
(show work on all 3) find the perimeter of the semicircular region
Answers
Answer:
6: We already know the diamer, which is 18, and the radius which is half of 18. So 18 gets multiplied by PI (In this case 3.14) 3.14*18=56.52, or 56.5. Then we divide it by 2 (Cause it's a half circle.) which is 28.25.
7: 20*3.14=62.8/2=31.4
8: 8*3.14=25.12/2=12.56
(Because this time we didn't know the diameter, but 4+4=8.)
Explain:
A student needed to find the measure of angle b. She incorrectly said m
Answers
It’s a right angle, so 90-63=27!!!!!
The angle is right, so 90-63=27
i need help with my math
Answers
Answer:
19 yards squared
Step-by-step explanation:
3x5=15
2x2=4
15+4=19
What is the value of x in the figure?
Answers
Answer:
130
Step-by-step explanation:
130 because 130 +15 is equal to 145 and if the angles cross they're the same measure
The line plot below shows the heights of flowers grown by the students in one of the fifth grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Which is the combined height of the flowers Persia uses?
A. 59 3/4 inches
B. 61 1/2 inches
C. 62 1/4 inches
D. 63 1/4 inches
Answers
The combined height of the flowers Persia uses will be 61 1/4 inches. Then the correct option is C.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
The line plot below shows the heights of flowers grown by the students in one of the fifth-grade classes. Persia makes a flower arrangement using the 8 longest flowers.
Then the combined height of the flowers Persia uses will be
→ 6.5 + 6.75 + 7 + 7.25 + 7.5 + 7.75 + 8.5 + 10
→ 61.25
The number 61.25 can be written as
→ 61 and 1/4 inches
More about the dot plot link is given below.
https://brainly.com/question/22746300
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During a high school hockey game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose ten people to march in the sportsmanship parade. What is the sample in this situation? *
The coach
The hockey game spectators
The ten people to march in the sportsmanship parade
The ticket stubs
Answers
Answer:
The Ten People To March In The Sportsmanship Parade.
Step-by-step explanation:
Pls help and explane how u got the answer PLSS
Answers
Answer:
Step-by-step explanation:
Volume of cylinder =
[tex]V=\pi r^2h[/tex]
Radius = Diameter / 2
Radius = 8 / 2
Radius = 4 cm
[tex]V = \pi (4^2)h[/tex]
Height = 16 cm
[tex]V = \pi (4^2) * 16[/tex]
[tex]V = (3.14)*(16)*16[/tex]
If [tex]\pi[/tex] = 3.14. (Most likely this one)
Than the answer is 803.8
(803.84 rounded to the nearest tenth is 803.8)
If [tex]\pi[/tex] = 3.14159
Than the answer is 804.2
(804.24772 rounded to the nearest tenth is 804.2)
The members of the Select Chorus agree to buy at least 250 tickets for an outside concert. They buy 20 fewer lawn tickets than balcony tickets. What is the last number of balcony tickets bought.
Answers
105 balcony tickets.
Step by step explanation:
Divide: 250/2=125
Next: 125-20
105
Need an explanation? Look below:
Divide 250 by 2 to get 125
Now you need to subtract 20 from 125 to get 105
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